Question

Which is a solution of the equation?

y = -2x + 4

a. (-1, 3)
b. (-2, 8)
c. (0, 1)
d. (4, 2)

PLease show your work! God bless

Answer 1

b

Explanation:

to determine which point is a solution, substitute the x-coordinate of the point into the equation and if the value is equal to the y-coordinate of the point then it is a solution.

(a) (- 1, 3)

y = (- 2 × - 1) + 4 = 2 + 4 = 6 ≠ 3 ⇒(-1, 3) is not a solution

(b) (- 2, 8)

y = (- 2 × - 2) + 4 = 4 + 4 = 8 ⇒ (- 2, 8) is a solution

(c) (0, 1)

y = 0 + 4 = 4 ≠ 1 ⇒ (0, 1) is not a solution

(d) (4, 2)

y = (2 × 4) + 4 = 8 + 4 = 12 ≠ 2 ⇒ (4, 2) is not a solution